Generalised random switching circuits: A time-domain technique

A probabilistic solution of the time-domain performance of an arbitrary switching circuit driven by a generalised random switching sequence is presented. A generalised random switching sequence is the superset of all clock-based random pulse-width modulation schemes and has the best possible spectra...

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Published in: Electronics letters Vol. 52; no. 2; pp. 107 - 109
Main Authors: Naudé, J.A, Hofsajer, I.W
Format: Journal Article
Language: English
Published: The Institution of Engineering and Technology 01-21-2016
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Summary: A probabilistic solution of the time-domain performance of an arbitrary switching circuit driven by a generalised random switching sequence is presented. A generalised random switching sequence is the superset of all clock-based random pulse-width modulation schemes and has the best possible spectral spreading. The switching circuits considered are linear and time invariant, have a constant DC input and contain at least one ideal switch. The mean of the probability density updates exactly like a discrete time solution to state-space averaging, with probability replacing the duty cycle. The covariance matrix of the probability density updates using a difference equation. The value of this work is in the prediction of the statistics of transients for randomly switched power converters. A boost converter is presented as an example.
ISSN: 0013-5194
1350-911X
DOI: 10.1049/el.2015.3027